We want to construct an asset portfolio by purchasing bond A, B, and C in a way that the values, durations, and convexity measures of the asset portfolio match those of the liability (immunization). How many bonds do we need to buy? L
We want to construct an asset portfolio by purchasing bond A, B, and C in a way that the values, durations, and convexity measures of the asset portfolio match those of the liability (immunization). How many bonds do we need to buy? L
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
![Suppose that the current YTM is 8% and assume semi-annual compounding. We have a liability
to pay $10,000 in 7 years. In order to construct a hedged portfolio, we can use the bonds as follows:
Bond
Maturity
(year)
Coupon rate Par value
YTM
(%)
($)
(%)
A
3
Compounding
frequency
6
100
8
24
Be
6
80
100
8
2
Ce
10
40
100
8
20
ㄎ
Liability
A
3
7
0
10000
8
24
We want to construct an asset portfolio by purchasing bond A, B, and C in a way that the values,
durations, and convexity measures of the asset portfolio match those of the liability (immunization).
How many bonds do we need to buy?<
t
←
Moreover, suppose that yields suddenly drop from 8% to 7%. Construct a table to check the
performance of immunization.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde2e77ab-e850-4189-b74e-5ccdc5a1400b%2F23cb418f-7abb-4805-b6b0-95d3c6fe7152%2Fg0auhy9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the current YTM is 8% and assume semi-annual compounding. We have a liability
to pay $10,000 in 7 years. In order to construct a hedged portfolio, we can use the bonds as follows:
Bond
Maturity
(year)
Coupon rate Par value
YTM
(%)
($)
(%)
A
3
Compounding
frequency
6
100
8
24
Be
6
80
100
8
2
Ce
10
40
100
8
20
ㄎ
Liability
A
3
7
0
10000
8
24
We want to construct an asset portfolio by purchasing bond A, B, and C in a way that the values,
durations, and convexity measures of the asset portfolio match those of the liability (immunization).
How many bonds do we need to buy?<
t
←
Moreover, suppose that yields suddenly drop from 8% to 7%. Construct a table to check the
performance of immunization.
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